252728 has 16 divisors (see below), whose sum is σ = 541680. Its totient is φ = 108288.

The previous prime is 252727. The next prime is 252731. The reversal of 252728 is 827252.

252728 = 187² + 188² + ... + 193².

252728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252697 and 252706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2201 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (33855).

2²⁵²⁷²⁸ is an apocalyptic number.

252728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252728 is an abundant number, since it is smaller than the sum of its proper divisors (288952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252728 is a wasteful number, since it uses less digits than its factorization.

252728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4522 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 252728 is about 502.7205983446. The cubic root of 252728 is about 63.2243617025.

It can be divided in two parts, 2527 and 28, that multiplied together give a square (70756 = 266²).

The spelling of 252728 in words is "two hundred fifty-two thousand, seven hundred twenty-eight".